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RD SHARMA ENGLISH-DETERMINANTS-All Questions
- If [] denotes the greatest integer less than or equal to the real numb...
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- Let |(3,y), (x,1)|=|(3,2), (4,1)| . Find possible values of x and y ar...
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- If |[x-2,-3],[3x,2x]|=3 find the value of x
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- Let A=|[1,sintheta,1],[-sintheta,1,sintheta],[-1,-sintheta,1]|, where ...
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- Find the minors and cofactors of elements of the matrix A=[a(i j)]=[[1...
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- Evaluate =|[-1, 6,-2],[ 2, 1, 1],[ 4, 1,-3]| by two methods
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- If A=[1 3 2 1] , find the determinant of the matrix A^2-2Adot
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- Determine the values of x for which the matrix A=[(x+1,-3 ,4),(-5,x+2,...
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- The value of the determinant |[x, x+y, x+2y], [x+2y, x,x+y],[x+y, x+2y...
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- The number of distinct real roots of |(cosecx,secx,secx),(secx, cosecx...
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- Let f(x)=|[cosx , x , x] , [2sinx , x , 2x] , [sinx , x , x]|, then ...
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- A triangle has its three sides equal to a , b and c . If the coordina...
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- Solve the following system of equations using Cramers rule. 5x-7y+z=1...
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- Let A=|(1,sintheta,1),(-sintheta,1,sintheta),(-1,-sintheta,1)|, where ...
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- Prove the identities: |[a, b-c,c-b],[ a-c, b, c-a],[ a-b,b-a, c]| =(...
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- Prove the identity: |[b^2+c^2,ab, ac],[ba,c^2+a^2,bc],[ca, cb ,a^2+b^2...
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- |((a^2+b^2)/c,c,c),(a,(b^2+c^2)/a,a),(b,b,(a^2+c^2)/b)| equal to : (A)...
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- Prove that identities: |[-bc,b^2+bc,c^2+bc],[a^2+ac,-ac,c^2+ac],[a^2+...
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- Without expanding, prove that |a b c x y z p q r|=|x y z p q r a b c|=...
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- If |[p, b, c],[ a, q, c],[ a, b, r]|=0, find the value of p/(p-a)+q/(...
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